SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2021 / Cilt: 9 - Sayı: 4

Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces

Serkan DEMİRİZ
Emrah KARA
Pages
151–157
Publication Date
2021-12-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.
📊
Key Findings & Data:The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.
💡
Conclusion & Impact:The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiplication operator · Orlicz function · Invertible operator

Abstract

The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.

🔖

Cite This Article

DEMİRİZ, S., KARA, E. (2021). Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Mathematical Sciences and Applications E-Notes, Cilt: 9 - Sayı: 4, 151–157. https://ajindex.com/articles/690668

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. P.R.Halmos,AHilbertspaceproblembook,NewYork-Basel-Honkong,(1991)
  2. R.K.SinghandA.Kumar,Multiplicationoperatorsandcompositionoperatorswithclosedranges,Bulletinof the Australian Mathematical Society, 16(1977), 247-252
  3. R.K.SinghandA.Kumar,Compactcompositionoperators,JournaloftheAustralianMathematicalSociety: Pure Mathematics and Statistics, Series A, 28(1979), 309-314
  4. M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat, 30(5) (2016), 1175-1184. ̇ [6] R. E. Castillo, H. C. Chaparro and J. C. Ramos-Fernández, Orlicz-Lorentz spaces and their multiplication operators, Hacettepe Journal of Mathematics and Statistics, 44(2015), 991-1009
  5. R. E. Castillo, J. C. Ramos-Fernández and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Revista Colombiana de Matemáticas, 49(2015), 293-305
  6. R.E.Castillo,F.A.VallejoNarvaezandJ.C.Ramos-Fernández,Multiplicationandcompositionoperatorson weak Lp spaces, Bulletin of the Malaysian Mathematical Sciences Society, 38(2015), 927-973
  7. J.S.Shiue,AnoteonCesàrofunctionspaces,TamkangJ.Math.,1(1970),91-95
  8. G.M.Leibowitz,AnoteonCesàrosequencespaces,TamkangJ.Math.,2(1971),151-157
  9. A.A.Jagers,AnoteonCesàrosequencespaces,NieuwArch.Wiskund,22(1974),113-124
  10. Y. Cui and R. Pluciennik, Banach-Saks property and property β in Cesàro sequence spaces, Southeast Asian Bull. Math., 24(2000), 201-210
  11. Y.CuiandH.Hudzik,SomegeometricpropertiesrelatedtofixedpointtheoryinCesàrospaces,Collect.Math., 50(1999), 277-288
  12. B.AltayandR.Kama,OnCesàrosummabilityofvectorvaluedmultiplierspacesandoperatorvaluedseries, Positivity, 22(2) (2018), 575-586
  13. R.Kama,OnsomevectorvaluedmultiplierspaceswithstatisticalCesàrosummability.Filomat,33(16)(2019), 5135-5147
  14. J.LindenstraussandL.Tzafriri,OnOrliczsequencespaces,IsraelJ.Math.,10(1971),379-390.